{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "cellView": "form",
    "hide_input": true,
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<script>function toggle_code(){$('.rendered.selected div.input').toggle().find('textarea').focus();} $(toggle_code())</script>\n",
       "<a href=\"javascript:toggle_code()\">Toggle</a> the code for plot_progress."
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "execution_count": 1,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "#@title Run this cell to setup visualization...\n",
    "# This cell defines plot_progress() which plots an optimization trace.\n",
    "\n",
    "import matplotlib\n",
    "from matplotlib import pyplot as plt\n",
    "\n",
    "def plot_progress(bowl, track, losses):\n",
    "    # Draw the contours of the objective function, and x, and y\n",
    "    fig, (ax1, ax2) = plt.subplots(1,2, figsize=(12, 5))\n",
    "    for size in torch.linspace(0.1, 1.0, 10):\n",
    "        angle = torch.linspace(0, 6.3, 100)\n",
    "        circle = torch.stack([angle.sin(), angle.cos()])\n",
    "        ellipse = torch.mm(torch.inverse(bowl), circle) * size\n",
    "        ax1.plot(ellipse[0,:], ellipse[1,:], color='skyblue')\n",
    "    track = torch.stack(track).t()\n",
    "    ax1.set_title('progress of x')\n",
    "    ax1.plot(track[0,:], track[1,:], marker='o')\n",
    "    ax1.set_ylim(-1, 1)\n",
    "    ax1.set_xlim(-1.6, 1.6)\n",
    "    ax1.set_ylabel('x[1]')\n",
    "    ax1.set_xlabel('x[0]')\n",
    "    ax2.set_title('progress of y')\n",
    "    ax2.xaxis.set_major_locator(matplotlib.ticker.MaxNLocator(integer=True))\n",
    "    ax2.plot(range(len(losses)), losses, marker='o')\n",
    "    ax2.set_ylabel('objective')\n",
    "    ax2.set_xlabel('iteration')\n",
    "    fig.show()\n",
    "\n",
    "from IPython.display import HTML\n",
    "HTML('''<script>function toggle_code(){$('.rendered.selected div.input').toggle().find('textarea').focus();} $(toggle_code())</script>\n",
    "<a href=\"javascript:toggle_code()\">Toggle</a> the code for plot_progress.''')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Pytorch Optimizers\n",
    "==================\n",
    "\n",
    "Optimizers have a simple job: given gradients of an objective with respect to a set of input parameters, adjust the parameters reduce the objective.  They do this by modifying each parameter by a small amount in the direction given by the gradient.\n",
    "\n",
    "\n",
    "Gradient descent just subtracts the gradient\n",
    "---------\n",
    "You can apply gradient descent by hand easily by just using `loss.backward()` to compute the gradient of the loss with respect to every parameter `x`, and then apply `x -= learning_rate * x.grad` to nudge `x` in the gradient direction that makes the loss smaller.\n",
    "\n",
    "Here is an example of applying gradient descent by hand:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 81,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x360 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "import torch\n",
    "\n",
    "x_init = torch.randn(2)\n",
    "x = x_init.clone()\n",
    "\n",
    "bowl = torch.tensor([[ 0.4410, -1.0317], [-0.2844, -0.1035]])\n",
    "track, losses = [], []\n",
    "\n",
    "for iter in range(21):\n",
    "    x.requires_grad = True\n",
    "    loss = torch.mm(bowl, x[:,None]).norm()\n",
    "    loss.backward()\n",
    "    with torch.no_grad():\n",
    "        x = x - 0.1 * x.grad\n",
    "    track.append(x.detach().clone())\n",
    "    losses.append(loss.detach())\n",
    "    \n",
    "plot_progress(bowl, track, losses)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Built-in optimization algorithms\n",
    "------\n",
    "\n",
    "Pytorch includes several optimization algorithms.\n",
    "\n",
    "The actual optmization algorithms employ a number of techniques to make the process faster and more robust as repeated steps are taken, by trying to adapt to the shape of the objective surface as it is explored.  The simplest method is SGD-with-momentum, which is implemented in pytorch as `pytorch.optim.SGD`.\n",
    "\n",
    "Using SGD\n",
    "---------\n",
    "\n",
    "To use SGD, you need to calculate your objective and fill in gradients on all the parameters before it can take a step.\n",
    "\n",
    "  1. Set your parameters (x in this case) to `x.requires_grad = True` so autograd tracks them (line 5).\n",
    "  2. Create the optimizer and tell it about the parameters to adjust (`[x]` here) (line 6).\n",
    "  3. In a loop, compute your objective, then call `loss.backward()` to fill in `x.grad` and then `optimizer.step()` to adjust `x` accordingly (lines 12-15).\n",
    "  \n",
    "**Remember to zero gradient.** Notice that we use `optimizer.zero_grad()` each time to set x.grad to zero before recomputing gradients; if we do not do this, then the new gradient will be added to the old one.\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 73,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x360 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "import torch\n",
    "\n",
    "x = x_init.clone()\n",
    "x.requires_grad = True\n",
    "optimizer = torch.optim.SGD([x], lr=0.1, momentum=0.5)\n",
    "\n",
    "bowl = torch.tensor([[ 0.4410, -1.0317], [-0.2844, -0.1035]])\n",
    "track, losses = [], []\n",
    "\n",
    "for iter in range(21):\n",
    "    loss = torch.mm(bowl, x[:,None]).norm()\n",
    "    optimizer.zero_grad()\n",
    "    loss.backward()\n",
    "    optimizer.step()\n",
    "    track.append(x.detach().clone())\n",
    "    losses.append(loss.detach())\n",
    "    \n",
    "plot_progress(bowl, track, losses)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Exercise\n",
    "\n",
    "1. Set the `x_init` fixed, to the point `torch.tensor([-1.0, 0.0])`.\n",
    "2. Increase the number of iterations to 101.\n",
    "3. Experiment with different combinations of `lr` and `momentum` to see which converges to zero `y` best."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 79,
   "metadata": {},
   "outputs": [],
   "source": [
    "# TODO: Copy the SGD cell above, and modify it to\n",
    "# 1. set x_init to [-1, 0]\n",
    "# 2. Increase iterations to 101\n",
    "# 3. Find settings for lr and momenum that get the lowest objective"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Using other optimizers\n",
    "----------------------\n",
    "\n",
    "Other optimizers are similar.  Adam is a popular adaptive method that does well without much tuning, and can be dropped in to replace plain SGD.\n",
    "\n",
    "Some other fancy optimizers, such as LBFGS, need to be given an objective function that they can call repeatedly to probe gradients themselves.  Examples can be found elsewhere: for example [hjmshi's LBFGS includes some examples](https://github.com/hjmshi/PyTorch-LBFGS/blob/master/examples/Other/lbfgs_tests.py#L129-L132)."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 77,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x360 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# The code below uses Adam\n",
    "x = x_init.clone()\n",
    "x.requires_grad = True\n",
    "optimizer = torch.optim.Adam([x], lr=0.1)\n",
    "\n",
    "track, losses = [], []\n",
    "\n",
    "for iter in range(21):\n",
    "    loss = torch.mm(bowl, x[:,None]).norm()\n",
    "    optimizer.zero_grad()\n",
    "    loss.backward()\n",
    "    optimizer.step()\n",
    "    track.append(x.detach().clone())\n",
    "    losses.append(loss.detach())\n",
    "    \n",
    "plot_progress(bowl, track, losses)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Exercise\n",
    "\n",
    "We will try the LBFGS optimizer.\n",
    "\n",
    "1. To start, as in the first exercise, set `x_init` to `torch.tensor([-1.0, 0.0])` and increase to 101 iterations.\n",
    "2. Define a zero-argument function for the loss, e.g.: `loss = lambda: torch.mm(bowl, x[:,None]).norm()`\n",
    "3. Use `torch.optim.LBFGS` as the optimizer, setting the option `max_eval=5`.  Since this optimizer probes the loss several different points for each step, `optimizer.step` requires the `loss` function as an argument now.\n",
    "4. Experiment with different learning rates and `max_eval` values.\n",
    "\n",
    "Note that LBFGS is a very memory-intensive optimizer, too expensive for training most neural networks.  But for a small parameter set it is great.\n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 80,
   "metadata": {},
   "outputs": [],
   "source": [
    "# TODO: Copy the SGD cell above, and modify it to\n",
    "# 1. set x_init to [-1, 0] and increase iterations to 101\n",
    "# 2. define a zero-argument `loss` function\n",
    "# 3. use LBFGS instead of SGD.  Pay attention to the `loss` argument of `optimizer.step()`\n",
    "# 4. experiment with LBFGS settings."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Other tricks\n",
    "------------------------\n",
    "\n",
    " 1. **Learning rate schedules**.  One of the simplest and most effective ways to improve training is to adjust the learning rate, decreasing it during training.   There are many differerent strategies for scheduling learning rates, and pytorch comes with a set of `torch.optim.lr_scheduler` classes to make it easy to drop in a variety of methods.  See [Stack overflow](https://stackoverflow.com/questions/48324152/) or [scheduler documentation](https://pytorch.org/docs/stable/optim.html#torch.optim.lr_scheduler.StepLR).\n",
    " 2. **Multiple optimizers**. Sometimes you want to optimize more than one objective.  The ordinary solution to this is to make an single overall objective as a (weighted) sum of all the objectives.  However, sometimes you want to apply one objective to some parameters and a different objective to a different set of parameters.  This occurs, for example in *adversarial training* such as in GANs, where two networks are learning to play against each other.  In this case you can use multiple different optimizers, one for each opposing objective.  See [Examples of GAN implementations](https://github.com/eriklindernoren/PyTorch-GAN/blob/master/implementations/gan/gan.py#L112-L113) to see how this is done."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### [On to topic 4: Modules &rightarrow;](4-Pytorch-Modules.ipynb)"
   ]
  }
 ],
 "metadata": {
  "accelerator": "GPU",
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
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  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.9.9"
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 },
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}
